This is the peer reviewed version of the following article:
Buckmaster, T. , De Lellis, C. , Székelyhidi, L. and Vicol, V. (2019), Onsager's Conjecture for Admissible Weak Solutions. Comm. Pure Appl. Math., 72: 229-274.
, which has been published in final form at https://doi.org/10.1002/cpa.21781. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. (http://www.wileyauthors.com/self-archiving)